Item 8 Find the lateral surface area of the cylinder. Round your answer to the nearest tenth. in.2

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

4 0

Answer:

LSA = 2πrH

Step-by-step explanation:

The lateral surface area of a cylinder is given by the formula as:

LSA = 2πrH

where, r and H are radius and height of the cylinder respectively.

The volume of cylinder is πr^2H

and Total surface are of cylinder = LSA+ 2× base are

= 2πrH +2πr^2

You can substitute any values of r and H to find LSA of the cylinder

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Tom jogged from 10.30 to 12.15. He traveled 7 miles. What was his average rate of jogging?

maks197457 [2]

From 1030 to 1100 is 30 minutes
From 1100 to 1200 is 60 minutes
From 1200 to 1215 is 15 minutes
Total Time is 105 minutes
105/7=15
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gregori [183]

Answer:

a) 48.80% probability that his travel time to work is less than 30 minutes

b) The mean is 30.7 minutes and the standard deviation is of 3.83 minutes.

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .